{
  "abstract": "We consider the interaction of a viscous incompressible fluid with a flexible elastic shell occupying the boundary of the fluid's domain in two space dimensions. The shell is modelled by a perfectly elastic linearised beam equation. It is an open problem in fluid-structure interaction, even for the idealised case of a perfectly elastic plate, if a self-intersection of the structure can be excluded in the long run. We show that by adding a physically well-motived and sufficiently strong transport noise in the structure equation, the self-intersection does not occur before any given end-time with any prescribed probability smaller than 1.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.09811",
  "author_total": 2,
  "authors": [
    {
      "name": "Dominic Breit"
    },
    {
      "name": "Prince Romeo Mensah"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/1qmptb5q29ke8.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.09811",
  "fulltext_url": null,
  "id": "1qmptb5q29ke8",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.09811",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.AP"
    ],
    [
      "arxiv",
      "math.PR"
    ],
    [
      "openalex",
      "2604|Navier-Stokes equation solutions"
    ]
  ],
  "openalex": "W7220942723",
  "pdf_url": "https://arxiv.org/pdf/2610.09811",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-07",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/1qmptb5q29ke8.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:27:42Z",
      "native_id": "2610.09811",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.09811"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AP",
      "subfield": "analysis-pdes"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.PR",
      "subfield": "probability"
    }
  ],
  "title": "Strong transport noise prevents self-intersection in 2D fluid-structure interaction",
  "title_text": "Strong transport noise prevents self-intersection in 2D fluid-structure interaction",
  "type": "preprint",
  "updated_at": "2026-10-30T12:27:42Z",
  "url": "https://research.draconitic.com/paper/1qmptb5q29ke8",
  "venue": "arXiv",
  "versions": []
}